A person raises a box with a weight of 50 newtons by 0.5 meter. How much work does the person do in this action?(1 point)

Responses

0.0 joules
0.0 joules

100 joules
100 joules

25 joules
25 joules

0.01 joule

1 answer

To calculate the work done, you can use the formula:

\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]

In this case, the force is the weight of the box (50 newtons) and the distance is the height raised (0.5 meters). Since the box is raised vertically, \(\theta\) (the angle between the direction of the force and the direction of movement) is 0 degrees, and \(\cos(0) = 1\).

Thus, the work done is:

\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 = 25 , \text{joules} \]

So, the correct response is:

25 joules